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JEE MATHEMATICS MCQ: COMBINATIONS

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A committee of at least three members is to be formed from a group of 6 boys and 6 girls such that it always has a boy and a girl. The number of ways to form such a committee is

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Correct option: B

2^{12}-2^7-35

Option B (

2^{12}-2^7-35

) is correct because it accurately calculates the number of ways to form the committee by subtracting the invalid cases (no boys or no girls) from the total possible committees.

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n